$$ \begin{aligned} 3 &= \frac{1}{2}(7x-2)&& \text{simplify right side} \\[1 em]3 &= \frac{7x-2}{2}&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot3 &= 2 \cdot \frac{7x-2}{2}&& \text{cancel out the denominators} \\[1 em]6 &= 7x-2&& \text{ swap the left and right side of the equation } \\[1 em]7x-2 &= 6&& \text{ move -2 to the right } \\[1 em]7x &= 6+2&& \\[1 em]7x &= 8&& \text{ divide both sides by $ 7 $ } \\[1 em]x &= \frac{8}{7}&& \\[1 em] \end{aligned} $$

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